4961146500 has 144 divisors (see below), whose sum is σ = 16015359360. Its totient is φ = 1292155200.

The previous prime is 4961146481. The next prime is 4961146501. The reversal of 4961146500 is 56411694.

4961146500 is a `hidden beast` number, since 4 + 9 + 6 + 1 + 146 + 500 = 666.

It is a super-2 number, since 2×4961146500² = 49225949188924500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4961146501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180681 + ... + 206319.

Almost surely, 2^4961146500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4961146500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8007679680).

4961146500 is an abundant number, since it is smaller than the sum of its proper divisors (11054212860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4961146500 is a wasteful number, since it uses less digits than its factorization.

4961146500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25707 (or 25692 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4961146500 is about 70435.4065793618. The cubic root of 4961146500 is about 1705.5351874373.

The spelling of 4961146500 in words is "four billion, nine hundred sixty-one million, one hundred forty-six thousand, five hundred".